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Paper Citation Record · LEDGER

Local expansion properties of paracontrolled systems

As of 14 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:2412.12670.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.12670 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:59:38.926037Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:31:44.034342Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-11T12:31:44.551198Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 36308aed-f496-4c63-961e-6d89827575c8 · outbound

This paper cites and Bernicot F.

Local expansion properties of paracontrolled systems and Bernicot F

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.074647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:59:38.887817Z digest=sha256:5b727b87c5799359da37b6e28aecc26a0f7dee9b071e201079012d59d380af29

Observation ec55193c-918b-4f53-b7db-061982c697a8 · outbound

This paper cites Formalizing line editors in Coq.

Local expansion properties of paracontrolled systems Formalizing line editors in Coq

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-11T13:59:38.969820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:59:38.891955Z digest=sha256:bfb09514d196c96a59ca921880afeffc26f533b7d9a991fbfc0015ff2cca2cc1

Observation 5103a097-620b-4c74-adf4-ccd36c3e23f0 · outbound

This paper cites and Hoshino M.

Local expansion properties of paracontrolled systems and Hoshino M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.062340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:59:38.895858Z digest=sha256:2ebc6651285a0648b6af27c7f6e7a534754682bb079ecafec31cc7805e91b90c

Observation 64e31d67-5fa7-4c04-87b5-3c07bbe7e946 · outbound

This paper cites and Hoshino M., Paracontrolled calculus and regularity structures II.

Local expansion properties of paracontrolled systems and Hoshino M., Paracontrolled calculus and regularity structures II

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.051392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:59:38.899537Z digest=sha256:21ef0a8495d8afb7e871e1d44f7403524968fcb9ad166ded4a3c1b0f1f6c74ef

Observation 9ae95724-797a-41f7-9646-ca3c3cda183d · outbound

This paper cites and Mouzard A.

Local expansion properties of paracontrolled systems and Mouzard A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.041470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:59:38.903148Z digest=sha256:01e89c272a7e85d9570166d697566cc153fdbd8adfd65bcd87b56a2d410155f4

Observation 3aca7252-bd66-441e-ad7a-281676c6e4a5 · outbound

This paper cites and Perkowski N., Paracontrolled distributions and singular PDEs.

Local expansion properties of paracontrolled systems and Perkowski N., Paracontrolled distributions and singular PDEs

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.028927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:59:38.907282Z digest=sha256:3c3aa0e45b4da6b8d28f0de9675633dc79aaf94b6c833cadffaac36994b425d3

Observation 5dd1a5fb-d142-4478-a820-24fcfbd2a967 · outbound

This paper cites , A theory of regularity structures.

Local expansion properties of paracontrolled systems , A theory of regularity structures

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.017736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:59:38.911162Z digest=sha256:b2e88e66f8e39e797f9a6fdd876b448d8c594bfe26273d3a7960f513e6364218

Observation a274f459-c72f-4dd9-b08a-61c243fd45af · outbound

This paper cites and Kelly D., Geometric versus non-geometric rough paths.

Local expansion properties of paracontrolled systems and Kelly D., Geometric versus non-geometric rough paths

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.005441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:59:38.914596Z digest=sha256:89c2bed4e50b44eaa48083b4aeb6de91e2b8e32c351206e7d81a674f52b3f04b

Observation 67254b30-cb01-474a-b548-f3c710a947ea · outbound

This paper cites , Iterated paraproducts and iterated commutator estimates i n Besov spaces.

Local expansion properties of paracontrolled systems , Iterated paraproducts and iterated commutator estimates i n Besov spaces

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:38.993441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:59:38.917897Z digest=sha256:3885193ca7a13bd456146737c367b463d620e0039938543c9787065906721fc7

Observation bdede839-958e-40a7-92b6-af35a037373e · outbound

This paper cites , Commutator estimates from a viewpoints of regularity struc tures.

Local expansion properties of paracontrolled systems , Commutator estimates from a viewpoints of regularity struc tures

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:38.981791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T13:59:38.921836Z digest=sha256:0264797b751b5f516de963653aef9ed7566085248a0450839a824009479919db

Observation 59917a2e-d410-421f-8e40-abc6b9b543cc · outbound

This paper cites A note on the Taylor estimates of iterated paraproducts.

Local expansion properties of paracontrolled systems A note on the Taylor estimates of iterated paraproducts

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T13:59:38.926037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:59:38.926037Z digest=sha256:3cce2955083272d9d544dc20c941b109563aad7b9396581baf80b8bfd68deace

Pith citing papers

Observation 368da30e-98f6-4cbf-9cbb-89ee01452300 · inbound

A general paracontrolled ansatz for singular SPDEs cites this paper.

A general paracontrolled ansatz for singular SPDEs Local expansion properties of paracontrolled systems

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:31:44.555204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:31:44.034342Z digest=sha256:5d009ea7bf2ae46c162206dc6813d2c420b9bb57c1f24845131abd5643f6ef26